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Finding the Fourth Proportional to 513.24, 764.04 and 510.49

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Solution

The fourth proportional to 513.24, 764.04 and 510.49 is: 759.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.24 : 764.04 = 510.49 : x
  2. Step 2: Convert to fraction form
    513.24/764.04 = 510.49/x
  3. Step 3: Cross multiply
    513.24x = 764.04 × 510.49
  4. Step 4: Simplify right side
    513.24x = 390,034.78
  5. Step 5: Solve for x
    x = 390,034.78/513.24
  6. Step 6: Final answer
    x = 759.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.